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Finding the Fourth Proportional to 472.50, 651.90 and 286.05

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Solution

The fourth proportional to 472.50, 651.90 and 286.05 is: 394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.50 : 651.90 = 286.05 : x
  2. Step 2: Convert to fraction form
    472.50/651.90 = 286.05/x
  3. Step 3: Cross multiply
    472.50x = 651.90 × 286.05
  4. Step 4: Simplify right side
    472.50x = 186,476.00
  5. Step 5: Solve for x
    x = 186,476.00/472.50
  6. Step 6: Final answer
    x = 394.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.